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Back to Practice Questions
ElectricalElectrical Materials
PrevNext

The B/H ratio is not constant for ________

A

Non-magnetic materials

B

Paramagnetic materials

C

Ferromagnetic materials

D

Diamagnetic materials

Correct Answer

Concept & PrincipleElectricalElectrical Materials
Option C

Ferromagnetic materials

Quick Summary: The B/H ratio represents the permeability of a material, denoted as $\mu = B/H$. For ferromagnetic materials, this ratio is non-linear and depends on the magnetic field intensity (H) due to the presence of magnetic domains, leading to the B-H hysteresis curve.

ЁЯТб Explanation

The B/H ratio represents the permeability of a material, denoted as ╬╝=B/H\mu = B/H╬╝=B/H. For ferromagnetic materials, this ratio is non-linear and depends on the magnetic field intensity (H) due to the presence of magnetic domains, leading to the B-H hysteresis curve.

ЁЯФв Key Formulas

B=╬╝HB = \mu HB=╬╝H тАФ Relation between flux density and field intensity

╬╝r=╬╝╬╝0\mu_r = \frac{\mu}{\mu_0}╬╝rтАЛ=╬╝0тАЛ╬╝тАЛ тАФ Relative permeability

тЪЩя╕П Working Principle

In ferromagnetic materials, individual magnetic domains align with an external field, creating non-linear magnetization. As H increases, the material reaches a state of saturation, causing the permeability ╬╝=B/H\mu = B/H╬╝=B/H to vary continuously until saturation is reached.

ЁЯУМ Key Points
  • тЦ╕

    Non-magnetic materials (vacuum/air) have a constant ╬╝r=1\mu_r = 1╬╝rтАЛ=1.

  • тЦ╕

    Ferromagnetic materials exhibit saturation, causing the B/H ratio to decrease at high field intensities.

  • тЦ╕

    The B/H relationship for ferromagnetic materials is represented by the non-linear magnetization curve.

тЬЕ Advantages
  • тЦ╕

    High permeability allows for efficient magnetic flux concentration

  • тЦ╕

    Essential for transformer cores and electric motors

тЭМ Disadvantages / Limitations
  • тЦ╕

    Presence of hysteresis loss due to non-linear path

  • тЦ╕

    Saturation limits the maximum flux density in design

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Transformer cores

  • тЦ╕

    Electromagnets

  • тЦ╕

    Inductor cores

ЁЯУД Additional Information
  • тЦ╕

    Diamagnetic and paramagnetic materials have a nearly constant ╬╝r\mu_r╬╝rтАЛ, typically very close to 1.

  • тЦ╕

    The B-H curve for ferromagnetic materials is characteristically S-shaped (sigmoid) until saturation.

ЁЯУК Diagram / Illustration
Permeability DefinitionB (Magnetic Flux Density)H (Magnetic Field Intensity)
╬╝=BH\mu = (B / H)╬╝=HBтАЛ (Not constant)
тЬЕ

C is correct тАФ Ferromagnetic materials exhibit a non-linear B-H relationship due to domain orientation and magnetic saturation, making the B/H ratio variable.

Core Concepts Used
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Magnetic Permeability Hysteresis Loop Magnetic Saturation
ЁЯТб EXAM TIP

Remember that constant permeability is a trait of linear materials; ferromagnetic materials are intrinsically non-linear and are defined by their B-H curves.

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